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Finding the Fourth Proportional to 13,456.75, 20,188.37 and 4,222.75

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Solution

The fourth proportional to 13,456.75, 20,188.37 and 4,222.75 is: 6,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.75 : 20,188.37 = 4,222.75 : x
  2. Step 2: Convert to fraction form
    13,456.75/20,188.37 = 4,222.75/x
  3. Step 3: Cross multiply
    13,456.75x = 20,188.37 × 4,222.75
  4. Step 4: Simplify right side
    13,456.75x = 85,250,439.42
  5. Step 5: Solve for x
    x = 85,250,439.42/13,456.75
  6. Step 6: Final answer
    x = 6,335.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.